form x2 + bx + c, find two integers, r and s, whose product is c and whose sum is b. Rewrite the trinomial as x2 + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).
In factoring general trinomials, get the first terms which product is the first given term. Get the last terms which product is the given last term and the sum which is the middle given term.
Example:
x² + 7x + 12
Get the first terms which product is the first given term.
(x )(x )
x × x = x²
Get the last terms which product is the given last term and the sum which is the middle given term.
(x + 3)(x + 4)
3 × 4 = 12
3x + 4x = 7x
Therefore, the factor of x² +7x + 12 is (x + 3)(x + 4)
Checking:
Do the FOIL method to check if your answer is correct.
Answers & Comments
Answer:
form x2 + bx + c, find two integers, r and s, whose product is c and whose sum is b. Rewrite the trinomial as x2 + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).
Step-by-step explanation:
just use ze form x2+bx+c and do ze steps
Answer:
In factoring general trinomials, get the first terms which product is the first given term. Get the last terms which product is the given last term and the sum which is the middle given term.
Example:
x² + 7x + 12
Get the first terms which product is the first given term.
(x )(x )
x × x = x²
Get the last terms which product is the given last term and the sum which is the middle given term.
(x + 3)(x + 4)
3 × 4 = 12
3x + 4x = 7x
Therefore, the factor of x² +7x + 12 is (x + 3)(x + 4)
Checking:
Do the FOIL method to check if your answer is correct.
Multiply the First terms.
x × x = x²
Multiply the Outer terms.
x × 4 = 4x
Multiply the Inner terms.
3 × x = 3x
Multiply the Last terms.
3 × 4 = 12
Combine like terms.
4x + 3x = 7x
Therefore, your answer is correct.
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